UV/IR Mixing and Anomalies in Noncommutative Gauge Theories
نویسنده
چکیده
Using path integral method (Fujikawa’s method) we calculate anomalies in noncommutative gauge theories with fermions in the bi-fundamental and adjoint representation. We find that axial and chiral gauge anomalies coming from non-planar contributions are derived in the low noncommutative momentum limit p̃μ(≡ θpν) → 0. The adjoint chiral fermion carries no anomaly in non-planar sector in D = 4k(k = 1, 2, . . . , ) dimensions. It is naturally shown from the path integral method that anomalies in non-planar sector originate in UV/IR mixing. ∗E-mail address: [email protected]
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تاریخ انتشار 2002